y(2x+3)=3x-5

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Solution for y(2x+3)=3x-5 equation:


Simplifying
y(2x + 3) = 3x + -5

Reorder the terms:
y(3 + 2x) = 3x + -5
(3 * y + 2x * y) = 3x + -5

Reorder the terms:
(2xy + 3y) = 3x + -5
(2xy + 3y) = 3x + -5

Reorder the terms:
2xy + 3y = -5 + 3x

Solving
2xy + 3y = -5 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
2xy + -3x + 3y = -5 + 3x + -3x

Reorder the terms:
-3x + 2xy + 3y = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3x + 2xy + 3y = -5 + 0
-3x + 2xy + 3y = -5

Add '-3y' to each side of the equation.
-3x + 2xy + 3y + -3y = -5 + -3y

Combine like terms: 3y + -3y = 0
-3x + 2xy + 0 = -5 + -3y
-3x + 2xy = -5 + -3y

Reorder the terms:
5 + -3x + 2xy + 3y = -5 + -3y + 5 + 3y

Reorder the terms:
5 + -3x + 2xy + 3y = -5 + 5 + -3y + 3y

Combine like terms: -5 + 5 = 0
5 + -3x + 2xy + 3y = 0 + -3y + 3y
5 + -3x + 2xy + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
5 + -3x + 2xy + 3y = 0

The solution to this equation could not be determined.

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